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Finding the Fourth Proportional to 319.47, 476.83 and 283.02

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Solution

The fourth proportional to 319.47, 476.83 and 283.02 is: 422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.47 : 476.83 = 283.02 : x
  2. Step 2: Convert to fraction form
    319.47/476.83 = 283.02/x
  3. Step 3: Cross multiply
    319.47x = 476.83 × 283.02
  4. Step 4: Simplify right side
    319.47x = 134,952.43
  5. Step 5: Solve for x
    x = 134,952.43/319.47
  6. Step 6: Final answer
    x = 422.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.